126589 has 4 divisors (see below), whose sum is σ = 127324. Its totient is φ = 125856.

The previous prime is 126583. The next prime is 126601. The reversal of 126589 is 985621.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 60025 = 258^2 + 245^2 .

It is a cyclic number.

It is not a de Polignac number, because 126589 - 2⁷ = 126461 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 126589.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49 + ... + 505.

It is an arithmetic number, because the mean of its divisors is an integer number (31831).

2¹²⁶⁵⁸⁹ is an apocalyptic number.

It is an amenable number.

126589 is a deficient number, since it is larger than the sum of its proper divisors (735).

126589 is an equidigital number, since it uses as much as digits as its factorization.

126589 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734.

The product of its digits is 4320, while the sum is 31.

The square root of 126589 is about 355.7934794231. The cubic root of 126589 is about 50.2109752039.

The spelling of 126589 in words is "one hundred twenty-six thousand, five hundred eighty-nine".